The sample average of 50 data points is 40. The updated sample average after…

2024

The sample average of 50 data points is 40. The updated sample average after including a new data point taking the value of 142 is ______.

Attempted by 10 students.

Show answer & explanation

Correct answer: 42

Step 1: Compute the original total of the 50 data points.

Original sample size = 50, original average = 40, so original total = 50 × 40 = 2000.

Step 2: Add the new data point 142 to the total.

New total = 2000 + 142 = 2142.

Step 3: Compute the updated average using the new total and new sample size.

New sample size = 51, so updated average = 2142 ÷ 51 = 42.

Answer: 42

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